【SAT官方每日一题】8/4/12 Mathematics > Standard Multiple Choice

滚吧肥汤圆UID: 3272378

Read the following SAT test question and then click on a button to select your answer.
3 b4 T  r9 B9 b
6 L. }' `+ K2 G0 i1 m% |* u0 O. C6 e
: J3 M6 C! d. k' y
7 V9 r4 O% S: S# z9 u7 dIn the figure above,
and
. If the dashed lines bisect the angles with measures of
. R/ z) V  ?# h and
, what is the value of
; W3 Z# h: P3 a, E3 I! h1 j?
3 B) R% ^7 y3 u) G
/ l. o  _. A4 j$ z
( w8 Q1 h8 Y8 v3 ^. U# f: [
+ \4 W5 @" _/ p+ B: `, ~

) u- A. X( j: XA.  
/ h- @  c( F& I1 J
) ]; T% p' Q6 z% O+ d
B.  
* r( g1 V' T4 Y: L% i2 q9 F
* G0 u6 d  S$ t7 V; ^$ {2 n: ^9 [
C.  

/ C1 n! n7 Z* g3 Z7 {
+ H+ v# u4 X9 [0 ?. X# |  z8 O* I& _8 aD.  
/ a9 q2 C" W3 `2 i* w* G, f

) i- I) g4 {& z; EE.  
. s+ ~' |  V) D* S! N

正确答案:E
5 |6 q4 k" @. a6 Q3 R& z
8 r, R3 G" T+ @' X# Q解析:
3 o% {1 v2 b& q. S  D( v3 J
" L4 y+ [8 F0 q0 s8 T/ @' G3 J

First, add the labeled points A, B , C,D ,E , and  Oto the figure, as shown above. Then segment
bisects
) Q$ z, h6 t4 X1 F' w  s9 r , so
, and
& I: |! f# a# a# [ . Thus,
8 P# W  a. ~* B* o  t . Similarly,
, because  
4 E. L6 p! Z+ t4 W1 |/ |and  
% B; B; i6 q) v% F0 `% z, Bare of equal measure and the sum of their measures is
0 ~, B, t) G0 \) q# J% g. From the figure, it follows that
& F" D. \7 O8 L. Therefore,
.
: ]  e% l) F. C, T/ B
' |4 F- u( M! f3 q" B

6 b( y& d1 o# y/ b4 b* S! u